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3 years ago

Which prism has the greatest volume?

Mathematics

1 answer:

77julia77 [94]3 years ago

4 0

Answer:

Volume of the prism formula:

V = lwh

Volume of the given prisms:

V₁ = 5*6*4 = 120
V₂ = 2*3*10 = 60
V₃ = 2*8*8 = 128
V₄ = 8*3*6 = 144

The last Prism has the greatest volume

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lubasha [3.4K]

Answer: g > 6

The graph is below

The graph has an open hole at 6; shading to the right

=============================================================

Explanation:

I'm assuming the variable g is not in the denominator.

To solve for g, we'll first multiply both sides by 3

$-\frac{2}{3}g < -4\\\\3*\left(-\frac{2}{3}g\right) < 3(-4)\\\\-2g < -12\\\\$

Then divide both sides by -2 to fully isolate g. Dividing both sides by a negative value flips the inequality sign.

$-2g < -12\\\\\frac{-2g}{-2} > \frac{-12}{-2}\\\\g > 6$

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The graph will have an open hole at 6 and shading to the right. See below.

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The answer to the problem

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